标题： 无惩罚项的任意阶移位边界方法 显示英文标题

标题： A penalty-free Shifted Boundary Method of arbitrary order

摘要： 我们引入并分析了一种无惩罚的位移边界方法（SBM）公式，该方法受到非对称Nitsche方法的启发。我们证明了其在任意阶有限元插值空间中的稳定性与收敛性，并通过多项数值实验测试了其性能。此外，尽管之前认为SBM仅在Galerkin正交性的意义上是渐近一致的，但我们在此证明它实际上是完全一致的。 显示英文摘要

摘要： We introduce and analyze a penalty-free formulation of the Shifted Boundary Method (SBM), inspired by the asymmetric version of the Nitsche method. We prove its stability and convergence for arbitrary order finite element interpolation spaces and we test its performance with a number of numerical experiments. Moreover, while the SBM was previously believed to be only asymptotically consistent (in the sense of Galerkin orthogonality), we prove here that it is indeed exactly consistent.